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Finding the Fourth Proportional to 6,642.01, 9,950.06 and 5,174.29

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Solution

The fourth proportional to 6,642.01, 9,950.06 and 5,174.29 is: 7,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.01 : 9,950.06 = 5,174.29 : x
  2. Step 2: Convert to fraction form
    6,642.01/9,950.06 = 5,174.29/x
  3. Step 3: Cross multiply
    6,642.01x = 9,950.06 × 5,174.29
  4. Step 4: Simplify right side
    6,642.01x = 51,484,470.09
  5. Step 5: Solve for x
    x = 51,484,470.09/6,642.01
  6. Step 6: Final answer
    x = 7,751.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.